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Denoising diffusion models have recently emerged as a powerful class of generative models. They provide state-of-the-art results, not only for unconditional simulation, but also when used to solve conditional simulation problems arising in…

Machine Learning · Statistics 2022-06-28 Yuyang Shi , Valentin De Bortoli , George Deligiannidis , Arnaud Doucet

Recently, a series of papers proposed deep learning-based approaches to sample from target distributions using controlled diffusion processes, being trained only on the unnormalized target densities without access to samples. Building on…

Machine Learning · Computer Science 2024-05-24 Lorenz Richter , Julius Berner

Diffusion bridge models offer a powerful framework for connecting two data distributions, such as in image restoration and translation. Many existing methods learn this bridge by mimicking the score-matching formulation of standard…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Yurong Gao , Zicheng Zhang , Congying Han , Tiande Guo , Xinmin Qiu

Retinal fundus photography is significant in diagnosing and monitoring retinal diseases. However, systemic imperfections and operator/patient-related factors can hinder the acquisition of high-quality retinal images. Previous efforts in…

Image and Video Processing · Electrical Eng. & Systems 2024-09-18 Xuanzhao Dong , Vamsi Krishna Vasa , Wenhui Zhu , Peijie Qiu , Xiwen Chen , Yi Su , Yujian Xiong , Zhangsihao Yang , Yanxi Chen , Yalin Wang

The dynamic Schr\"odinger bridge problem provides an appealing setting for solving constrained time-series data generation tasks posed as optimal transport problems. It consists of learning non-linear diffusion processes using efficient…

Machine Learning · Computer Science 2023-11-27 Ella Tamir , Martin Trapp , Arno Solin

Solving inverse problems -- recovering signals from incomplete or noisy measurements -- is fundamental in science and engineering. Score-based generative models (SGMs) have recently emerged as a powerful framework for this task. Two main…

Machine Learning · Computer Science 2025-10-27 Bartlomiej Sobieski , Matthew Tivnan , Yuang Wang , Siyeop Yoon , Pengfei Jin , Dufan Wu , Quanzheng Li , Przemyslaw Biecek

Recent diffusion probabilistic models (DPM) in the field of pansharpening have been gradually gaining attention and have achieved state-of-the-art (SOTA) performance. In this paper, we identify shortcomings in directly applying DPMs to the…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Zihan Cao , Xiao Wu , Liang-Jian Deng

Resampling from a target measure whose density is unknown is a fundamental problem in mathematical statistics and machine learning. A setting that dominates the machine learning literature consists of learning a map from an easy-to-sample…

Machine Learning · Computer Science 2026-02-24 Leticia Mattos Da Silva , Silvia Sellán , Francisco Vargas , Justin Solomon

Diffusion-based models have demonstrated remarkable effectiveness in image restoration tasks; however, their iterative denoising process, which starts from Gaussian noise, often leads to slow inference speeds. The Image-to-Image…

Image and Video Processing · Electrical Eng. & Systems 2025-03-25 Yuang Wang , Siyeop Yoon , Pengfei Jin , Matthew Tivnan , Sifan Song , Zhennong Chen , Rui Hu , Li Zhang , Quanzheng Li , Zhiqiang Chen , Dufan Wu

Score-based generative models have recently attracted significant attention for their ability to generate high-fidelity data by learning maps from simple Gaussian priors to complex data distributions. A natural generalization of this idea…

Computation · Statistics 2025-11-19 Hanwen Huang

The dynamic Schr\"odinger bridge problem seeks a stochastic process that defines a transport between two target probability measures, while optimally satisfying the criteria of being closest, in terms of Kullback-Leibler divergence, to a…

Machine Learning · Statistics 2023-12-25 Stefano Peluchetti

Bridge models in image restoration construct a diffusion process from degraded to clear images. However, existing methods typically require training a bridge model from scratch for each specific type of degradation, resulting in high…

Computer Vision and Pattern Recognition · Computer Science 2025-06-02 Hanting Wang , Tao Jin , Wang Lin , Shulei Wang , Hai Huang , Shengpeng Ji , Zhou Zhao

Generative speech enhancement has recently shown promising advancements in improving speech quality in noisy environments. Multiple diffusion-based frameworks exist, each employing distinct training objectives and learning techniques. This…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-22 Julius Richter , Danilo de Oliveira , Timo Gerkmann

Diffusion models (DMs), which enable both image generation from noise and inversion from data, have inspired powerful unpaired image-to-image (I2I) translation algorithms. However, they often require a larger number of neural function…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Jeongsol Kim , Beomsu Kim , Jong Chul Ye

Audio-visual deepfake localization demands interval-level outputs that serve as temporal evidence. Despite recent progress, symmetric fusion under single-sided or asynchronous forgeries propagates cross-modal noise, degrading high-precision…

Computer Vision and Pattern Recognition · Computer Science 2026-05-25 Jiayu Xiong , Jing Wang , Qi Zhang , Wanlong Wang , Jun Xue

Schr\"odinger Bridges (SB) have recently gained the attention of the ML community as a promising extension of classic diffusion models which is also interconnected to the Entropic Optimal Transport (EOT). Recent solvers for SB exploit the…

Machine Learning · Computer Science 2024-07-31 Nikita Gushchin , Sergei Kholkin , Evgeny Burnaev , Alexander Korotin

Deep generative models have gained recent traction in accelerated MRI reconstruction. Diffusion priors are particularly promising given their representational fidelity. Instead of the target transformation from undersampled to fully-sampled…

Image and Video Processing · Electrical Eng. & Systems 2023-12-19 Muhammad U. Mirza , Onat Dalmaz , Hasan A. Bedel , Gokberk Elmas , Yilmaz Korkmaz , Alper Gungor , Salman UH Dar , Tolga Çukur

Computational methods for learning to sample from the Boltzmann distribution -- where the target distribution is known only up to an unnormalized energy function -- have advanced significantly recently. Due to the lack of explicit target…

Machine Learning · Statistics 2025-11-26 Guan-Horng Liu , Jaemoo Choi , Yongxin Chen , Benjamin Kurt Miller , Ricky T. Q. Chen

Metasurface inverse design is challenged by the intricate relationship between structural parameters and electromagnetic responses, as well as the high dimensionality of the optimization space. Local models, while commonly employed, quickly…

The Schr\"{o}dinger bridge (SB) has evolved into a universal class of probabilistic generative models. In practice, however, estimated learning signals are innately uncertain, and the reliability promised by existing methods is often based…

Machine Learning · Computer Science 2025-12-23 Dong-Sig Han , Jaein Kim , Hee Bin Yoo , Byoung-Tak Zhang